I certainly do. Why don’t you try and enlighten me if you are so sure, Mr. Vocabulary?
I think ‘dated’ would have been a better descriptor.
This commercial wouldn’t really be anachronistic unless it were, say, shown on television in the context of a movie set in modern times—or a western set in the 19th century.
An old commercial, and this commercial specifically, is not an anachronism as everything is chronologically in order.